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An Adaptive Deflation Domain-Decomposition Preconditioner for Fast Frequency Sweeps

机译:自适应扫频域分解预处理器,用于快速扫频

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摘要

An adaptive multi-point model-order reduction is a well-established methodology for computing fast frequency sweeps of finite-element (FE) models. For structures that are electrically large, however, generating the reduced-order system is computationally expensive, because both the size of the FE model and the number of expansion points become large. Thus, a great number of independent large-scale systems of linear equations must be solved by iterative methods. To alleviate this problem, this paper proposes to employ the reduced-order system already available at a given adaptive step for constructing an efficient two-level preconditioner. Two numerical examples demonstrate the benefits of the suggested approach.
机译:自适应多点模型降阶是一种用于计算有限元(FE)模型的快速频率扫描的公认方法。但是,对于电较大的结构,由于FE模型的大小和扩展点的数量都变大,因此生成降阶系统在计算上是昂贵的。因此,必须通过迭代方法解决大量独立的大型线性方程组系统。为了减轻这个问题,本文提出采用在给定的自适应步骤中已经可用的降阶系统来构造有效的两级预处理器。两个数值示例证明了该方法的好处。

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